Calculate the hydrogen ion concentration in a solution of iced tea with lemon having a pH of 2.87. A) 2.9 * 10^-2 M B) 5.7 * 10^-2 M C) 1.3 * 10^-3 M D) 2.9 * 10^-3 M E) 5.7 * 10^-4 M

Question

Quizplus · Accepted Answer

The pH of the solution is given as 2.87. We know that pH + pOH = 14. Therefore, pOH = 14 - pH = 14 - 2.87 = 11.13.  From this, we can calculate the concentration of hydroxide ions using the relation: pOH = -log[OH-].

11.13 = -log[OH-]
[OH-] = 1.3 × 10^-3 M

Now, we can use the relation: Kw = [H+][OH-] = 1.0 × 10^-14 M^2 (at 25°C) to calculate the concentration of hydrogen ions.

[H+] = Kw / [OH-] = (1.0 × 10^-14 M^2) / (1.3 × 10^-3 M) = 7.7 × 10^-12 M.

Thus, the hydrogen ion concentration in the solution is 1.3 × 10^-11 M or 1.3 × 10^-3 pH. The correct choice is C.

Calculate the Hydrogen Ion Concentration in a Solution of Iced